54815241600 has 1152 divisors, whose sum is σ = 236770560000. Its totient is φ = 12057292800.

The previous prime is 54815241589. The next prime is 54815241617. The reversal of 54815241600 is 614251845.

It is a happy number.

54815241600 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 5 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 306230311 + ... + 306230489.

It is an arithmetic number, because the mean of its divisors is an integer number (205530000).

Almost surely, 2^54815241600 is an apocalyptic number.

54815241600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54815241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280000).

54815241600 is an abundant number, since it is smaller than the sum of its proper divisors (181955318400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54815241600 is a wasteful number, since it uses less digits than its factorization.

54815241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54815241600 in words is "fifty-four billion, eight hundred fifteen million, two hundred forty-one thousand, six hundred".